Answer:
3.) x = 4.5
4.) y = 7
Step-by-step explanation:
3 is an easier one than 4. By the triangle midsegment theorem, the midsegment of a triangle will be half of the base if it is parallel to it. AB is our base, so the equation is like this!
[tex]AB = 2(ED)\\9=2(ED)\\4.5=ED[/tex]
Now for 4, it actually is pretty easy. By the same triangle midsegment theorem, we automatically know that EC and EA are congruent, and CD and DB are also congruent. Meaning y equals 7.
But another way we can determine this (the long, kinda unecessary, but useful way) is through examining the relationship that triangles ABC and EDC have! We know that they are similar triangles by SAS or AA. Meaning, their equation looks something like this...
[tex]4.5(7+y) = 9y\\31.5 + 4.5y = 9y\\31.5=4.5y\\7=y[/tex]
Like I said earlier, 7 is equal to y, but I figured I'd prove it so we are on the same page. Nothing wrong with double-checking ;)
Have a nice day. Feel free to Ask questions. Spread The Love.
Solve this problem please.
Answer:
Step-by-step explanation:
i dont know
Answer:
y = -1/2x+5
Step-by-step explanation:
South Street: y = 2x-4
Perpendicular slope to 2 is -1/2
Find any point on new street: (2,4)
4 = -1/2(2) + b
4= -1 + b
5 = b
Which number is a rational number?
9
13
V2
16
49
134
Since you started recording it on your calendar. There have been 112 sunny and 42 rainy days. What has been the rainy day to sunny day ratio?
Answer: 3:8
Step-by-step explanation:
Number of rainy days = 42
Number of sunny days = 112
To calculate the rainy day to sunny day ratio, we can first use the numbers given as fraction and divide to its lowest term. This will be:
= Number of rainy days / Number of sunny days
= 42 / 112
= 3/8
Therefore, the ratio of rainy days to sunny days will be 3:8
PPPPPPPPPPPPPPPPPPPPPPPPPLLLLLLLLLLLLLLLLLLLLLLLLLLLLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELP I NEED ALL 3 QUESTIONS ANSWERED
22
Consider the expression below.
3x - (2y + 2)
Evaluate the expression when x = 0.02, y = 0.1, and z = 0.3.
NEED HELP ASAP HELPING A FRIEND
Answer:
Step-by-step explanation:
So it 22
Answer: 0.007
Step-by-step explanation:
Evaluate.
5^3 − (64/8) + 10^2
Enter your answer in the box.
Answer:
210
Step-by-step explanation:
Answer:
217
Step-by-step explanation:
5³ − (64/8) + 10²=125-8+100=217
Mikel gave a $1.32 tip for an order that cost $8.80.
Determine whether or not each tip below is proportional to Mikel's tip.
Proportional to Mikel's tip
Not proportional to Mikel's tip
$2.22 tip for a $14.80 order
$1.86 tip for a $10.50 order
ООО
$0.78 tip for a $5.20 order
Answer:
Step-by-step explanation:
Multiple the numbers one by one and the answers you’ll get u can choose to divide multiple plus or minus and u will get the answer
Remove parentheses using the distributive property 9 ( x + 8)
Answer:
9x + 72
Step-by-step explanation:
Answer:
9x + 8
Step-by-step explanation:
Hope this helps have a nice day :)
*You don't have to read this part*
Parentheses can be removed by multiplying the outside factor to each term inside the parentheses using distributive property.
The Raidius of a spherical globe is 9 inches what is the volume of the globe?
Find the slope of the line graphed below .
Answer:
the slope would be rise over run
it is shown in the graph it rise 3units and run 2units therefore it's 3/2
A cardinal is sitting 15ft up in a tree and spies some birdseed on the ground. If the bird must travel 17.3ft to get from the tree to the birdseed, what is the angle of depression it must fly? Round your answer to the tenth of a degree.
Answer:
60.1°
Step-by-step explanation:
We solve the above question using the Trigonometric function of Sine
sin x = Opposite/Hypotenuse
x = Angle of Depression
Opposite = 15ft
Hypotenuse = 17.3ft
sin x = 15ft/17.3ft
x = arc sin (15ft/17.3ft)
x = arcsin(0.8670520231213873)
60.117851927°
Approximately Angle of depression = 60.1°
please help me please will give brainliest
Answer:
it's the 3rd option (eeeexxxxttteeennndddeeerrr)
Answer:
the correct answer is c i hoped this helped
The smelter produces 384 tons of cast iron a day. How much coke is burned per day during smelting if 15 tons of coke is consumed per 16 tons of cast iron?
Answer:
360 tons
Step-by-step explanation:
Coke burned : cast iron = 15 : 16
The smelter produces 384 tons of cast iron a day
Let x = tons of coke burned
Coke burned : cast iron = x : 384
Equate both ratios
15 : 16 = x : 384
15/16 = x/384
Cross product
15 * 384 = 16 * x
5,760 = 16x
x = 5,760/16
x = 360
x = tons of coke burned = 360 tons
The height of 44 students (in centimeter) are presented in the frequency distribution below. Complete the table, and then find the median.
Height
182 - 188
175 - 181
168 - 174
161 - 167
154 - 160
147 - 153
140 - 146
Frequency
1
3
6
15
12
4
3
L
Given:
The height of 44 students (in centimeter) are presented in the given frequency distribution.
To find:
The median of the given data.
Solution:
The given intervals are inclusive first make the intervals exclusive by adding 0.5 in upper limit and by subtracting 0.5 from the lower limit.
The complete frequency distribution table is shown below:
Height Frequency L <cf
182 - 188 1 181.5 - 188.5 44
175 - 181 3 174.5 - 181.5 43
168 - 174 6 167.5 - 174.5 40
161 - 167 15 160.5 - 167.5 34 Median class
154 - 160 12 153.5 - 160.5 19
147 - 153 4 146.5 - 153.5 7
140 - 146 3 139.5 - 146.5 3
We have, [tex]n=44[/tex].
[tex]\dfrac{n}{2}=\dfrac{44}{2}[/tex]
[tex]\dfrac{n}{2}=22[/tex]
The 22th term is include in the class 160.5 - 167.5 because is cf is greater than 22 but the cf of o preceding class is less than 22. So, it is the median class is 160.5 - 167.5.
Formula for median:
[tex]Median=l+\dfrac{\dfrac{n}{2}-cf}{f}\times h[/tex]
Where, l is the lower limit of median class, cf is the cumulative frequency of preceding class, f is the frequency of median class and h is the size of the class.
Now, [tex]l=160.5,f=15,cf=19,h=7[/tex].
[tex]Median=160.5+\dfrac{22-19}{15}\times 7[/tex]
[tex]Median=160.5+\dfrac{3}{15}\times 7[/tex]
[tex]Median=160.5+1.4[/tex]
[tex]Median=161.9[/tex]
Therefore, the median of the given data table is 161.9.
Find the size of x and y
Answer:
x = 50°
y = 50°
Step-by-step explanation:
x = y because it is an isosceles triangle
2x + 80 = 180°
2x = 100°
x = 50°
y = 50°
Please help with this
Step-by-step explanation:
I need the graph. I'll answer if you send me the graph that is uses
Solve x/3 = 9.
anyone wanna help lol?
Answer:
x=27
Step-by-step explanation:
Answer:
The answer would be 27
Step-by-step explanation:
Times three by nine to get the value of x.
Give the values of a, b, and c from the standard form of the equation (2x + 1)(x - 2) = 0.
A. a = 3, b = 1, c = -1
B. a = 2, b = 5, c= -2
C. a = 2, b = -3,c = -2
Given:
The equation is:
[tex](2x+1)(x-2)=0[/tex]
To find:
The values of a, b and b from the standard form.
Solution:
The standard form of a quadratic equation is:
[tex]ax^2+bx+c=0[/tex] ....(i)
We have,
[tex](2x+1)(x-2)=0[/tex]
In can be rewritten as
[tex]2x(x)+(2x)(-2)+(1)(x)+(1)(-2)=0[/tex]
[tex]2x^2-4x+x-2=0[/tex]
[tex]2x^2-3x-2=0[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]a=2,b=-3,c=-2[/tex]
Therefore, the correct option is C.
cs.
The width of a rectangle is
12 cm less than the length.
The area is 64 cm2. Find the
length and width.
Answer:
Length of rectangle = 16 cm
Width of rectangle = 4 cm
Step-by-step explanation:
Given:
Area of rectangle = 64 cm²
Find:
Length and width
Computation:
Assume;
Length of rectangle = a
So,
Width of rectangle = a -12
Area of rectangle = l x b
So,
a(a-12) = 64
a² - 12a - 64 = 0
a² - (16-4)a - 64 = 0
a² - 16a+ 4a - 64 = 0
a (a-16) + 4(a-16)= 0
(a-16)(a+4) = 0
a= 16 , a = -4
So,
Length of rectangle = 16 cm
Width of rectangle = a -12
Width of rectangle = 16 -12
Width of rectangle = 4 cm
Which of the following rules represents the set of ordered pairs?
{(5, -1), (3, 7), (1, 15), (0, 19)}
ƒ( x ) = -2 x - 5
ƒ( x ) = 8 x - 23
ƒ( x ) = -4 x + 19
Answer:
3rd one
.
.
...................
What is the following product
Answer:
1.) y3
Step-by-step explanation:
There are 120 pieces of candy in a bag. Fill in the table below to determine the number of pieces of each color
Answer:
Blue = 30
Green = 24
Red = 54
Orange = 12
Step-by-step explanation:
hahahshahhahahahahahauehfudbrog f ghg
Anyone know the answer to 20?
Never gets it right will be the Brainleiest
Answer:
J
Step-by-step explanation:
If you use a calculator, 3/4 x 60 = 45
It’s the number closet to 100-55
Given the midpoint and one endpoint of a line segment, find the other endpoint.
Endpoint: (-4,-10), midpoint: (-8,-4)
Answer:
(-12 , 2)
Step-by-step explanation:
GIVEN :-
Co-ordinates of one endpoint = (-4 , -10)Co-ordinates of the midpoint = (-8 , -4)TO FIND :-
Co-ordinates of another endpoint.FACTS TO KNOW BEFORE SOLVING :-
Section Formula :-
Let AB be a line segment where co-ordinates of A = (x¹ , y¹) and co-ordinates of B = (x² , y²). Let P be the midpoint of AB . So , by using section formula , the co-ordinates of P =
[tex](x , y) = (\frac{x^2 + x^1}{2} ,\frac{y^2 + y^1}{2} )[/tex]
PROCEDURE :-
Let the co-ordinates of another endpoint be (x , y)
So ,
[tex](-8 , -4) = (\frac{-4 + x}{2} , \frac{-10 + y}{2} )[/tex]
First , lets solve for x.
[tex]=> \frac{x - 4}{2} = -8[/tex]
[tex]=> x - 4 = -8 \times 2 = -16[/tex]
[tex]=> x = -16 + 4 = -12[/tex]
Now , lets solve for y.
[tex]=> \frac{y - 10}{2} = -4[/tex]
[tex]=> y - 10 = -4 \times 2 = -8[/tex]
[tex]=> y = -8 + 10 = 2[/tex]
∴ The co-ordinates of another endpoint = (-12 , 2)
A number s divided by 2
Answer:
s/2 is the equation
Step-by-step explanation:
Find the surface area of the composite figure.
Answer The answer is c.
Step-by-step explanation:
cause i said it was
Pete runs an ice cream stand that also sells snow cones served in paper cones. The paper cones he usually uses have a radius of 3 inches and a height of 4 inches, but his supplier is out of them. As a replacement, he purchases paper cones with a radius of 4 inches and a height of 3 inches. How do the volumes of the original and replacement cones compare? A. The replacement cone holds 3π cubic inches more than the original. B. The original and replacement cones have the same volume. C. The replacement cone holds π cubic inches more than the original. B. The original cone holds π cubic inches more than the replacement.
Answer:
The correct answer is;
The replacement cone holds 4·π cubic inches more than the volume of the original cone
Step-by-step explanation:
The given measurements of the cones are;
The radius of the original cone, r₁ = 3 inches
The height of the original cone, h₁ = 4 inches
The radius of the replacement cone, r₂ = 4 inches
The height of the replacement cone, h₂ = 3 inches
The volume of a cone, V = (1/3)·π·r²·h
The volume of the original cone, V₁ = (1/3)·π·r₁²·h₁
∴ V₁ = (1/3) × π × (3 in.)² × 4 in. ≈ 37.7 in.³
The volume of the replacement cone, V₂ = (1/3)·π·r₂²·h₂
∴ V₂ = (1/3) × π × (4 in.)² × 3 in. ≈ 50.27 in.³
The ratio of the volume of the two cones is given as follows;
Volume ratio = V₁/V₂
∴ Volume ratio = (1/3) × π × (3 in.)² × 4 in. /((1/3) × π × (4 in.)² × 3 in.) = 3/4
The difference in volume, ΔV = V₂ - V₁ = (1/3) × π × ((4 in.)² × 3 in. - (3 in.)² × 4 in. = 4·π in.³
Therefore, the volume of the replacement cone is 4·π in.³ more than the volume of the original cone.
Max has $156. He spends 2/3 of his money on groceries. How much money did he have remaining? Explain.
Answer:
$52
Step-by-step explanation:
first 2/3*156 and you get 104
Then you do 156 -104 and you will have your answer
Answer:
Max has $52 remaining
Step-by-step explanation:
[tex]\frac{2}{3}*\frac{156}{1} = \frac{312}{3} \\[/tex]
simplify [tex]\frac{312}{3}[/tex] by 3 to get [tex]\frac{104}{1}[/tex]
Que funciones madre tienen su punto de inicio en el origen
Answer:
Funciones radicales
Step-by-step explanation:
Funciones radicales Esto significa que el dominio y el rango de y = √x son ambos [0, ∞). El punto de partida o vértice de la función padre también se encuentra en el origen. La función madre y = √x también aumenta en todo su dominio.
Please help, points are (-6, -2) and (-3, -7)
Answer:
-1/3
Step-by-step explanation:
-6+3=-3
2 and -7 is 9
Answer:
the correct answer is B
Step-by-step explanation:
go it right!!!